Details

Time bar (total: 5.0s)

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms267×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142
done42

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
8.0ms
(* x (log x))

series176.0ms

Counts
1 → 3
Calls
1 calls:
176.0ms
(* x (log x))

simplify191.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292
done500292

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt x))))
0.3b
(* x (log (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 96
Calls
4 calls:
20.0ms
(* x (* 2 (log (cbrt x))))
10.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series985.0ms

Counts
4 → 12
Calls
4 calls:
341.0ms
(* x (* 2 (log (cbrt x))))
305.0ms
(* x (log (cbrt x)))
166.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify39.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0288642
11206563
25001541
done5001541

prune218.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series863.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
190.0ms
(cbrt x)
250.0ms
(cbrt (cbrt x))
240.0ms
(cbrt (cbrt x))

simplify50.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071226
1141210
2357202
31377202
45001202
done5001202

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (pow (/ 1 x) -1/3)) x)
0.3b
(* x (* 2 (log (cbrt x))))
0.6b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×distribute-rgt-in add-cube-cbrt log-prod *-un-lft-identity distribute-lft-in
16×add-exp-log
15×cbrt-prod
13×pow1 unpow-prod-down
11×add-cbrt-cube
times-frac
associate-*l*
associate-*r* pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
pow-unpow pow-pow
div-exp *-commutative
pow-to-exp rec-exp pow-flip pow1/3 1-exp log-pow div-inv inv-pow unswap-sqr sqr-pow
Counts
4 → 104
Calls
4 calls:
7.0ms
(* (log (pow (/ 1 x) -1/3)) x)
21.0ms
(* x (* 2 (log (cbrt x))))
1.0ms
(cbrt x)
10.0ms
(pow (/ 1 x) -1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (log (pow (/ 1 x) -1/3)) x)
346.0ms
(* x (* 2 (log (cbrt x))))
331.0ms
(cbrt x)
174.0ms
(pow (/ 1 x) -1/3)

simplify50.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0460683
11662596
25001556
done5001556

prune239.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142
done42

end0.0ms

sample466.0ms

Algorithm
intervals
Results
149.0ms8033×body80valid
96.0ms7858×body80nan